Theorems · Theorem · commutative algebra
TensorProduct.flip_mk_surjective
∀ {R : Type u_1} (S : Type u_3) {T : Type u_4} [inst : CommSemiring R] [inst_1 : Semiring S] [inst_2 : Algebra R S]
[inst_3 : Ring T] [inst_4 : Algebra R T],
Function.Surjective ⇑(algebraMap R T) → Function.Surjective ⇑((TensorProduct.mk R S T).flip 1)- Defined in
- Mathlib.RingTheory.TensorProduct.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- RingHomstatement · cited by 10,189
- SetLike.coeproof · cited by 8,199
- Ringstatement and proof · cited by 7,463
- Submoduleproof · cited by 7,192
- Set.ofPredproof · cited by 6,101
- Algebra.algebraMapstatement and proof · cited by 4,706
Cited by1
Results whose statement or proof uses this declaration.
- Algebra.TensorProduct.includeLeft_surjectiveproof · cited by 1